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Fusion-Riesz frame in Hilbert space

Fusion-Riesz frame in Hilbert space

作     者:LI Xue-bin YANG Shou-zhi 

作者机构:Department of Mathematics Shantou University Shantou 515063 China 

出 版 物:《Applied Mathematics(A Journal of Chinese Universities)》 (高校应用数学学报(英文版)(B辑))

年 卷 期:2017年第32卷第3期

页      面:339-352页

核心收录:

学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基  金:Supported by the National Natural Science Foundation of China(11071152) the Natural Science Foundation of Guangdong Province(S2015A030313443) 

主  题:fusion-Riesz frame Riesz frame of subspace Riesz frame exact fusion frame 

摘      要:Fusion-Riesz frame (Riesz frame of subspace) whose all subsets are fusion frame sequences with the same bounds is a special fusion frame. It is also considered a generalization of Riesz frame since it shares some important properties of Riesz frame. In this paper, we show a part of these properties of fusion-Riesz frame and the new results about the stabilities of fusion-Riesz frames under operator perturbation (simple named operator perturbation of fusion-Riesz frames). Moreover, we also compare the operator perturbation of fusion-Riesz frame with that of fusion frame, fusion-Riesz basis (also called Riesz decomposition or Riesz fusion basis) and exact fusion frame.

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